mathsurgery - Construction and loci year 9

All
• Visualise and manipulate dynamic images
• Find simple loci, both by reasoning and by using ICT, to produce shapes and paths, e.g. an equilateral triangle
• Use straight edge and compasses to construct;
(i) the mid-point and perpendicular bisector of a line segment;
(ii) the bisector of an angle;
(iii) the perpendicular from a point to a line;
(iv) the perpendicular from a point on a line
(v) a triangle, given three sides (SSS)
• Use ICT to explore these constructions

Most
• Make accurate mathematical diagrams and constructions on paper and on screen
• Find the locus of a point that moves according to a simple rule, both by reasoning and by using ICT
• Use straight edge and compasses to construct a triangle, given right angle, hypotenuse and side (RHS)
• Use ICT to explore constructions of triangles and other 2-D shapes

Some
• Understand from experience of constructing them that triangles given SSS, SAS, ASA or RHS are unique, but that triangles given SSA or AAA are not
• Find the locus of a point that moves according to a more complex rule, both by reasoning and by using ICT

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Construction and loci year 9